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Finding the Fourth Proportional to 12,258.54, 16,915.99 and 7,221.78

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Solution

The fourth proportional to 12,258.54, 16,915.99 and 7,221.78 is: 9,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.54 : 16,915.99 = 7,221.78 : x
  2. Step 2: Convert to fraction form
    12,258.54/16,915.99 = 7,221.78/x
  3. Step 3: Cross multiply
    12,258.54x = 16,915.99 × 7,221.78
  4. Step 4: Simplify right side
    12,258.54x = 122,163,601.32
  5. Step 5: Solve for x
    x = 122,163,601.32/12,258.54
  6. Step 6: Final answer
    x = 9,965.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.